Finding the Fourth Proportional to 9,471.70, 13,066.32 and 5,693.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,471.70 : 13,066.32 = 5,693.86 : x
2. Step 2: Convert to fraction form
   9,471.70/13,066.32 = 5,693.86/x
3. Step 3: Cross multiply
   9,471.70x = 13,066.32 × 5,693.86
4. Step 4: Simplify right side
   9,471.70x = 74,397,796.80
5. Step 5: Solve for x
   x = 74,397,796.80/9,471.70
6. Step 6: Final answer
   x = 7,854.75